On uniform convergence for (mu,nu)-type rational approximants in  II.

For sequences of rational functions, analytic in some domain, a theorem of Montel’s type is proved. As an application, sequences of rational functions of the best $L_{p}$ -approximation with an unbounded number of finite poles are considered.

Uniformly counting rational points on conics

Efthymios Sofos (2014)

Acta Arithmetica

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We provide an asymptotic estimate for the number of rational points of bounded height on a non-singular conic over ℚ. The estimate is uniform in the coefficients of the underlying quadratic form.

The high-precision summation of series whose terms are rational numbers

W. Szafrański (1983)

Applicationes Mathematicae

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